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The Reliability and Precision of Total Scores and IRT Estimates as a Function of Polytomous IRT Parameters and Latent Trait Distribution
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Culpepper, Steven Andrew – Applied Psychological Measurement, 2013
A classic topic in the fields of psychometrics and measurement has been the impact of the number of scale categories on test score reliability. This study builds on previous research by further articulating the relationship between item response theory (IRT) and classical test theory (CTT). Equations are presented for comparing the reliability and…
Descriptors: Item Response Theory, Reliability, Scores, Error of Measurement
A SAS IML Macro for Loglinear Smoothing
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Moses, Tim; von Davier, Alina – Applied Psychological Measurement, 2011
Polynomial loglinear models for one-, two-, and higher-way contingency tables have important applications to measurement and assessment. They are essentially regarded as a smoothing technique, which is commonly referred to as loglinear smoothing. A SAS IML (SAS Institute, 2002a) macro was created to implement loglinear smoothing according to…
Descriptors: Statistical Analysis, Computer Software, Algebra, Mathematical Formulas
GMHDIF: A Computer Program for Detecting DIF in Dichotomous and Polytomous Items Using Generalized Mantel-Haenszel Statistics
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Fidalgo, Angel M. – Applied Psychological Measurement, 2011
Mantel-Haenszel (MH) methods constitute one of the most popular nonparametric differential item functioning (DIF) detection procedures. GMHDIF has been developed to provide an easy-to-use program for conducting DIF analyses. Some of the advantages of this program are that (a) it performs two-stage DIF analyses in multiple groups simultaneously;…
Descriptors: Test Bias, Computer Software, Statistics, Comparative Analysis
SEMModComp: An R Package for Calculating Likelihood Ratio Tests for Mean and Covariance Structure Models
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Levy, Roy – Applied Psychological Measurement, 2010
SEMModComp, a software package for conducting likelihood ratio tests for mean and covariance structure modeling is described. The package is written in R and freely available for download or on request.
Descriptors: Structural Equation Models, Tests, Computer Software, Models
Within-Subject Comparison of Changes in a Pretest-Posttest Design
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Hennig, Christian; Mullensiefen, Daniel; Bargmann, Jens – Applied Psychological Measurement, 2010
The authors propose a method to compare the influence of a treatment on different properties within subjects. The properties are measured by several Likert-type-scaled items. The results show that many existing approaches, such as repeated measurement analysis of variance on sum and mean scores, a linear partial credit model, and a graded response…
Descriptors: Simulation, Pretests Posttests, Regression (Statistics), Comparative Analysis
The Rasch Model as Additive Conjoint Measurement.
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Perline, Richard; And Others – Applied Psychological Measurement, 1979
Rasch's psychometric model is presented as a special case of additive conjoint measurement. Two data sets, each of which was analyzed using Rasch scaling methods as well as some of the methods of conjoint measurement, are compared. (Author/JKS)
Descriptors: Comparative Analysis, Mathematical Models, Measurement Techniques, Psychometrics
Comparison of Four IRT Models When Analyzing Two Tests for Inductive Reasoning.
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de Koning, Els; Sijtsma, Klaas; Hamers, Jo H. M. – Applied Psychological Measurement, 2002
Discusses the use of the nonparametric item response theory (IRT) Mokken models of monotone homogeneity and double monotonicity and the parametric Rasch and Verhelst models for the analysis of binary test data. Concludes that the simultaneous use of several IRT models for practical data analysis provides more insight into the structure of tests…
Descriptors: Comparative Analysis, Induction, Item Response Theory, Nonparametric Statistics